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Finding the Fourth Proportional to 524.76, 724.32 and 328.56

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Solution

The fourth proportional to 524.76, 724.32 and 328.56 is: 453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 724.32 = 328.56 : x
  2. Step 2: Convert to fraction form
    524.76/724.32 = 328.56/x
  3. Step 3: Cross multiply
    524.76x = 724.32 × 328.56
  4. Step 4: Simplify right side
    524.76x = 237,982.58
  5. Step 5: Solve for x
    x = 237,982.58/524.76
  6. Step 6: Final answer
    x = 453.51

Related Problems

Find fourth proportional to 262.38, 362.16 and 164.28
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.